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Riemann–Roch coefficients for Kleinian orbisurfaces

Lim, B. and Rota, F. (2023) Riemann–Roch coefficients for Kleinian orbisurfaces. Bollettino dell'Unione Matematica Italiana, (doi: 10.1007/s40574-023-00353-z) (Early Online Publication)

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Abstract

Suppose S is a smooth, proper, and tame Deligne–Mumford stack. Toën’s Grothendieck–Riemann–Roch theorem requires correction terms, involving components of the inertia stack, to the standard formula for schemes. We give a brief overview of Toën’s Grothendieck–Riemann–Roch theorem, and explicitly compute the correction terms in the case of an orbifold surface with stabilizers of types ADE.

Item Type:Articles
Status:Early Online Publication
Refereed:Yes
Glasgow Author(s) Enlighten ID:Rota, Dr Franco
Authors: Lim, B., and Rota, F.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Bollettino dell'Unione Matematica Italiana
Publisher:Springer
ISSN:1972-6724
ISSN (Online):2198-2759
Published Online:20 March 2023
Copyright Holders:Copyright © 2023 The Authors
First Published:First published in Bollettino dell'Unione Matematica Italiana 2023
Publisher Policy:Reproduced under a Creative Commons License

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